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Finding the Fourth Proportional to 83.45, 124.89 and 53.03

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Solution

The fourth proportional to 83.45, 124.89 and 53.03 is: 79.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.45 : 124.89 = 53.03 : x
  2. Step 2: Convert to fraction form
    83.45/124.89 = 53.03/x
  3. Step 3: Cross multiply
    83.45x = 124.89 × 53.03
  4. Step 4: Simplify right side
    83.45x = 6,622.92
  5. Step 5: Solve for x
    x = 6,622.92/83.45
  6. Step 6: Final answer
    x = 79.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.